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Finding the Fourth Proportional to 420,915.87, 580,876.67 and 229,941.56

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Solution

The fourth proportional to 420,915.87, 580,876.67 and 229,941.56 is: 317,326.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,915.87 : 580,876.67 = 229,941.56 : x
  2. Step 2: Convert to fraction form
    420,915.87/580,876.67 = 229,941.56/x
  3. Step 3: Cross multiply
    420,915.87x = 580,876.67 × 229,941.56
  4. Step 4: Simplify right side
    420,915.87x = 133,567,686,767.31
  5. Step 5: Solve for x
    x = 133,567,686,767.31/420,915.87
  6. Step 6: Final answer
    x = 317,326.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.